Answer:
Her weekly expenses amount to $25.
Detailed reasoning:
Given: Jessica earns commissions for every sale but must cover her own spending costs.
She expresses her income function as 
, where x represents the number of doors she approaches in a week and E(x) denotes her weekly earnings in dollars.
To determine: What are plausible meanings for the y-intercept in Jessica's earnings function?
Working it out:
x symbolizes the doors knocked per week
E(x) reflects her weekly total earnings in dollars.
Calculating the y-intercept:
Set x = 0
Given that E(x) is the net earning after expenses,
the value 25 corresponds to her weekly expenses.
Since she is responsible for covering costs,
if she makes zero sales, these expenses still apply.
Therefore, the y-intercept realistically represents her $25 weekly expenses.
Turn the scenario into a division problem: how many 100s fit into 3,200? Compute 3,200 ÷ 100. Removing the two zeros leaves 32, so thirty-two 100s make up 3,200.
Answer:
The diagram displaying triangle ABC and the relevant statement along with the answer options is attached.
According to this, the answer is: The length of DC is 28.
Explanation:
From the diagram and the data that segment AB equals segment AC, you comprehend that angles B and C of the isosceles triangle ABC are congruent.
Triangles BED and CFD possess two sets of congruent angles (angle B is congruent to angle D, and angles BED and DFC are congruent), indicating that triangles BED and CFD are similar.
This similarity leads to the proportional relationship:
Given that the ratio of DE to DF is 5:7, we have:
Also, it is stated that segment BC is 48.
From the figure:
This results in two equations:
Now, we define DC = x, which implies DB = 48 - x, leading to the equation:
Solve this:
- 5x = 7 (48 - x)... [multiplication property: multiply by x and 7]
- 5x = 336 - 7x... [distributive property]
- 12x = 336... [addition property: add 7x to both sides]
- x = 336 / 12... [division property: divide by 12]
- x = 28... [simplification]
Therefore, the length of segment x = DC = 28.
The average will increase by 5 points, therefore, option c is correct!
Subtracting seven from sixteen results in nine
The solution is nine
